The Held group of order 4030387200 is one of the sporadic finite simple groups. It was discovered by Dieter Held in 1969 as a group containing an involution whose centralizer is isomorphic to the centralizer of an involution in the Mathieu group M24. (The only other such group is the group PSL⁡5,2 .) The construction of the Held group was later completed by Graham Higman and John McKay. The Held group can also be realized as the centralizer of an element of order 7 in the Monster.
The HeldGroup() command returns either a permutation group, or a finitely presented group, isomorphic to the Held group.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
G ≔ HeldGroup⁡
The GroupTheory[HeldGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
Download Help Document
What kind of issue would you like to report? (Optional)